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Finding the Fourth Proportional to 4,906.12, 6,770.10 and 2,916.22

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Solution

The fourth proportional to 4,906.12, 6,770.10 and 2,916.22 is: 4,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.12 : 6,770.10 = 2,916.22 : x
  2. Step 2: Convert to fraction form
    4,906.12/6,770.10 = 2,916.22/x
  3. Step 3: Cross multiply
    4,906.12x = 6,770.10 × 2,916.22
  4. Step 4: Simplify right side
    4,906.12x = 19,743,101.02
  5. Step 5: Solve for x
    x = 19,743,101.02/4,906.12
  6. Step 6: Final answer
    x = 4,024.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.